| Assertion (A): A bicycle wheel makes 5000 revolutions in covering \[11km\]. Then diameter of the wheel is \[35\,cm\]. |
| Reason (R): Area of segment of a circle is \[\frac{\theta }{360}\times \pi {{r}^{2}}-\frac{1}{2}{{r}^{2}}\sin \theta \] |
A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)
B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A)
C) Assertion (A) is true but Reason (R) is false
D) Assertion (A) is false but Reason (R) is true
Correct Answer: D
Solution :
| [d] We have |
| \[2\pi r=\frac{11000}{5000}=\frac{11}{5}m=\frac{11}{5}\times 100cm\] |
| \[2r=\frac{11\times 100}{5\times \pi }=\frac{11\times 20}{22}\times 7\] |
| \[2r=70\] |
| Diameter \[=\text{7}0\text{ cm}\] |
You need to login to perform this action.
You will be redirected in
3 sec
